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Finding the Third Proportional to 123,130.69 and 261,088.31

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Solution

The third proportional to 123,130.69 and 261,088.31 is: 553,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,130.69 : 261,088.31 = 261,088.31 : x
  2. Step 2: Convert to fraction form
    123,130.69/261,088.31 = 261,088.31/x
  3. Step 3: Cross multiply
    123,130.69x = 261,088.31 × 261,088.31
  4. Step 4: Simplify right side
    123,130.69x = 68,167,106,924.10
  5. Step 5: Solve for x
    x = 68,167,106,924.10/123,130.69
  6. Step 6: Final answer
    x = 553,615.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.